Finding the Third Proportional to 32,221 and 68,314

Step by Step Solution

1. Step 1: Write the proportion equation
   32,221 : 68,314 = 68,314 : x
2. Step 2: Convert to fraction form
   32,221/68,314 = 68,314/x
3. Step 3: Cross multiply
   32,221x = 68,314 × 68,314
4. Step 4: Simplify right side
   32,221x = 4,666,802,596
5. Step 5: Solve for x
   x = 4,666,802,596/32,221
6. Step 6: Final answer
   x = 144,837.30